73812040 has 64 divisors (see below), whose sum is σ = 173968560. Its totient is φ = 28154880.

The previous prime is 73812031. The next prime is 73812041. The reversal of 73812040 is 4021837.

It can be written as a sum of positive squares in 8 ways, for example, as 59629284 + 14182756 = 7722^2 + 3766^2 .

It is a junction number, because it is equal to n+sod(n) for n = 73811996 and 73812014.

It is not an unprimeable number, because it can be changed into a prime (73812041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 77970 + ... + 78910.

Almost surely, 2^73812040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73812040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86984280).

73812040 is an abundant number, since it is smaller than the sum of its proper divisors (100156520).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

73812040 is a wasteful number, since it uses less digits than its factorization.

73812040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1042 (or 1038 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 25.

The square root of 73812040 is about 8591.3933677838. The cubic root of 73812040 is about 419.4778848469.

Adding to 73812040 its reverse (4021837), we get a palindrome (77833877).

The spelling of 73812040 in words is "seventy-three million, eight hundred twelve thousand, forty".